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Finding the Third Proportional to 26,424,735 and 40,426,867.50

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Solution

The third proportional to 26,424,735 and 40,426,867.50 is: 61,848,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424,735 : 40,426,867.50 = 40,426,867.50 : x
  2. Step 2: Convert to fraction form
    26,424,735/40,426,867.50 = 40,426,867.50/x
  3. Step 3: Cross multiply
    26,424,735x = 40,426,867.50 × 40,426,867.50
  4. Step 4: Simplify right side
    26,424,735x = 1,634,331,615,862,556.25
  5. Step 5: Solve for x
    x = 1,634,331,615,862,556.25/26,424,735
  6. Step 6: Final answer
    x = 61,848,552.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.